What is the answer for e^x=x^2

Answer:

20.

Step-by-step explanation:

5! / (n - r)!

= (5*4*3*2*1) /  3*2*1

= 5*4

= 20.

Answer:

------------------------------

Given is a quadratic equation:

A quadratic equation has no real solutions if its discriminant is negative.

The discriminant of ax² + bx + c is:

Apply to given equation:

Find the value of n when D < 0:

Unit price = total price / total quantity

Unit price = 63.75 / 5

Unit price = $12.75

Answer:

A

Step-by-step explanation:

5/(1-√3)=5*(1+√3)/(1-√3)(1+√3)= (5+5√3)/(1-3)=  -(5+5√3)/2

Choice A is correct one

Answer: A

Step-by-step explanation:

Answer:

Step-by-step explanation:

step 1

100%/the total number = percent for one probability

100/5 = 20%

2 and 4 is even.

total even number * percent for one probability = total percent for even number

20% * 2 = 40%

therefore total even number is 40%

The probability is:

Step-by-step explanation:

Remember the formula for probability:

\(\boxed{\!\!\boxed{\bold{Probability=\frac{Favourable~outcome}{total~outcomes}\quad}}\!\!}\)

In this case, the favourable outcome (an even number) is 2, because there are only 2 even numbers in the set.

As for the total outcomes, there are 5 of them, because we have 5 numbers total.

So the probability of choosing an even number is 2/5.

Expression 1 represents the difference in cost between the hotel room and the cost of food and beverage for all g guests, while Expression 2 represents the difference in cost between the hotel room and the cost of food and beverage for a single guest.

Expression 1 represents the difference in cost between the hotel room and the cost of food and beverage for Eric's guests. The first part of the expression (326 + 37g) represents the cost of the hotel room for all g guests, while the second part of the expression (287 + 23g) represents the cost of food and beverage for all g guests. To calculate the total cost of the hotel room and food and beverage, we can use the following formula: (326 + 37g) - (287 + 23g) = 39 + 14g.Expression 2, on the other hand, represents the difference in cost between the hotel room and the cost of food and beverage for a single guest. The first part of the expression (38 + 14g) represents the cost of the hotel room for one guest, while the second part of the expression (287 + 23g) represents the cost of food and beverage for one guest. To calculate the total cost of the hotel room and food and beverage for one guest, we can use the following formula: 38 + 14g.In conclusion, Expression 1 represents the difference in cost between the hotel room and the cost of food and beverage for all g guests, while Expression 2 represents the difference in cost between the hotel room and the cost of food and beverage for a single guest.

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Answer:

1 17/45

Step-by-step explanation:

You have to find the common denominator

Do this by multiply the numerator and denominator of one by the denominator of the other

So it would be

35/45 + 27/45

Then you add the numerators and keep the denominator

So it would be

62/45

To simplify you need to take out the 1

1 (62-45)/45 = 1 17/45

Answer:

A) 10

Step-by-step explanation:

Votes for Marcus: 420/2 = 210 votes

Votes for Mary: 420/3 = 140 votes

Votes for Edward: 420/7 = 60 votes

Total number of votes: 210+140+60 = 410 votes

people who didn't vote: 420-410 = 10 people

9514 1404 393

Answer:

  x = 9/10

Step-by-step explanation:

Fractions can be eliminated by multiplying the equation by 12.

  6x +4x = 9

  x = 9/10 . . . . . . . divide by the coefficient of x

__

Check

  (9/10)/2 +(9/10)/3 = 3/4 . . . . put x into the original equation

  9/20 +3/10 = 3/4 . . . . . . . . . simplify a bit

  9/20 +6/20 = 15/20 = 3/4 . . . . . true

The translation direction is 5 units to the left.

To determine the translation direction and number of units, we can compare the original coordinates of point Q (Q(5, 4)) with the new coordinates of Q' after the translation (Q'(0, 4)).

By comparing the x-coordinates, we can see that the x-coordinate of Q' is smaller than the x-coordinate of Q, which means the triangle was translated to the left.

By comparing the y-coordinates, we can see that the y-coordinate of Q' is the same as the y-coordinate of Q, which means there was no vertical translation.

Therefore, the translation direction is 5 units to the left.

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Answer:3:5

Step-by-step explanation:

12/4 is 3 and 20/4 is 5

so 3:5

Answer:9 and 5

Step-by-step explanation:k12

Step 1: Write the dividend and divisor:

\(\sf\:\frac{{x^3 - 8x^2 + 6x + 41}}{{x - 4}} \\ \)

Step 2: Divide the first term of the dividend by the first term of the divisor:

\(\sf\:\frac{{x^3}}{{x}} = x^2 \\ \)

Step 3: Multiply the divisor (x - 4) by the result (x^2):

\(\sf\:(x - 4) \cdot (x^2) = x^3 - 4x^2 \\ \)

Step 4: Subtract the result from the original dividend:

\(\sf\:(x^3 - 8x^2 + 6x + 41) - (x^3 - 4x^2) = -4x^2 + 6x + 41 \\ \)

Step 5: Bring down the next term from the dividend:

\(\sf\:\frac{{-4x^2 + 6x + 41}}{{x - 4}} \\ \)

Step 6: Repeat steps 2-5 with the new dividend:

\(\sf\:\frac{{-4x^2}}{{x}} = -4x \\ \)

\(\sf\:(x - 4) \cdot (-4x) = -4x^2 + 16x \\ \)

\(\sf\:(-4x^2 + 6x + 41) - (-4x^2 + 16x) = -10x + 41 \\ \)

Step 7: Bring down the next term from the dividend:

\(\sf\:\frac{{-10x + 41}}{{x - 4}} \\ \)

Step 8: Repeat steps 2-5 with the new dividend:

\(\sf\:\frac{{-10x}}{{x}} = -10 \\ \)

\(\sf\:(x - 4) \cdot (-10) = -10x + 40 \\ \)

\(\sf\:(-10x + 41) - (-10x + 40) = 1 \\ \)

Step 9: There are no more terms to bring down, so the division is complete.

Step 10: Write the final result:

The quotient is \(\sf\:x^2 - 4x - 10\\\) and the remainder is 1.

Therefore, the division of \(\sf\:(x^3 - 8x^2 + 6x + 41) by (x - 4) \\\) is:

\(\sf\:(x^3 - 8x^2 + 6x + 41) ÷ (x - 4) \\ \) \(\sf\:= x^2 - 4x - 10 + \frac{{1}}{{x - 4}} \\ \)

10 times 2 is equal to:

Answer:

Part A:

The probability of hitting the black circle is the ratio between the area of the black circle and the white square (including the black circle)

Area of circle:

Ac = pi x r^2 = pi x (2/2)^2 = pi (diameter = 2)

Area of square:

As = side^2 = 11^2 = 121 (side = 11)

=> P = pi/121 = ~0.025 (P = 0.025 < 0.5 => P is closer to 0 than 1)

Part B:

The probability of hitting the white portion could be calculated in a similar way as shown in part A. However, the event of hitting the white portion is the complement event of the event of hitting the black circle.

Because P(event) + P(complement of event) = 1

=> P = 1 - 0.025 = 0. 975 (P = 0.975 > 0.5 => P is closer to 1 than 0)

Answer:

666

Step-by-step explanation:

all the numbers will be in number form instead of word form.

By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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Answer:

\(P(x \ge 45000) = 0.77935\)

Step-by-step explanation:

Given [Missing from the question]

Exhibit Teacher's Salary:

\(\bar x=50000\)

\(s = 6500\)

Required

Calculate \(P(x\ge 45000)\)

First, we calculate the z score

\(z = \frac{x - \bar x}{s}\)

\(z = \frac{45000 - 50000}{6500}\)

\(z = \frac{-5000}{6500}\)

\(z = -0.77\)

\(P(x \ge 45000) = P(z \ge -0.77)\)

\(P(x \ge 45000) = 1 - P(z \le -0.77)\)

From the table:

\(P(z \le -0.77) = 0.22065\)

So, we have:

\(P(x \ge 45000) = 1 - 0.22065\)

\(P(x \ge 45000) = 0.77935\)

The mass of the trunk of the sequoia tree is 141443.1 kg.

The volume of a cylinder, using the formula:

V = πr²h

π is pi (approximately 3.14)

r is the radius of the trunk (which is half the diameter)

h is the height of the trunk

1 meter = 3.28084 feet

we can convert the given measurements from feet to meters to ensure consistent units.

The base diameter of the tree is 12.2 meters / 3.28084 = 3.719 meters,

so the radius is 3.719 / 2 = 1.8595 meters.

The height of the tree is 95 meters / 3.28084 = 28.9568 meters.

Therefore, the volume of the trunk is:

V = π(1.8595)²(28.9568) = 314.318 cubic meters

Now calculate the mass of the trunk by multiplying the volume by the density of the wood:

M = V × ρ

=  314.318  × 450

= 141443.1 kg

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Answer:

\(g(-2)=8\)

Step-by-step explanation:

We just need to evaluate the function at -2.

The function is:

\(g(x)=x^{2}-2x\)

Therefore, g(-2) will be:

\(g(-2)=(-2)^{2}-2(-2)\)

\(g(-2)=4+4\)

\(g(-2)=8\)

I hope it helps you!

The probability that a randomly selected statistics student is a business major or likes grilled cheese is 0.78.

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Given that the statistics class has 50 students and among those students, 35 are business majors, and 7 like grilled cheese. Of the business majors, 3 like grilled cheese.

The probability will be calculated as:-

P(AUB) = P(A) + P(B) - P(AB)

\(P(AUB)=\dfrac{35}{50}+\dfrac{7}{50}-\dfrac{3}{50}\)

\(P(AUB)=\dfrac{42-3}{50}\)

\(P(AUB)=\dfrac{39}{50}\)

P(AUB) = 0.78

Therefore the probability that a randomly selected statistics student is a business major or likes grilled cheese is 0.78.

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Answer:

2x

Step-by-step explanation:

5, 10, 20, 40, 80

each step is multiplying by 2, therefore the sequence is 2x

Answer:

60 x 1/5 = 12

I hope it helps.

The equation of p(x) in vertex form is;

p(x) = 9.67(x + 1.04)² - 10.25

The closest answer choice is:

p(x) = 3(x - 1)²  - 2, which is not correct.

In the context of a quadratic function, the vertex is the highest or lowest point on the graph of the function. It is the point where the parabola changes direction. The vertex is also the point where the axis of symmetry intersects the parabola.

To find the vertex form of the quadratic function p(x), we need to first find the vertex, which is the point where the function reaches its maximum or minimum value.

To find the vertex, we can use the formula:

x = -b/2a, where a is the coefficient of the x²  term, b is the coefficient of the x term, and c is the constant term.

Using the table, we can see that the highest value of p(x) occurs at x = 5, and the value is 46.

We can then use the formula to find the vertex:

x = -b/2a = -5/2a

Using the values from the table, we can set up two equations:

46 = a(5)² + b(5) + c

1 = a(0)²  + b(0) + c

Simplifying the second equation, we get:

1 = c

Substituting c = 1 into the first equation and solving for a and b, we get:

46 = 25a + 5b + 1

-20 = 5a + b

Solving for b, we get:

b = -20 - 5a

Substituting b = -20 - 5a into the first equation and solving for a, we get:

46 = 25a + 5(-20 - 5a) + 1

46 = 15a - 99

145 = 15a

a = 9.67

Substituting a = 9.67 and c = 1 into b = -20 - 5a, we get:

b = -20 - 5(9.67) = -71.35

Therefore, the equation of p(x) in vertex form is:

p(x) = 9.67(x - 5)²  + 1

Simplifying, we get:

p(x) = 9.67(x²  - 10x + 25) + 1

p(x) = 9.67x²  - 96.7x + 250.85 + 1

p(x) = 9.67x²  - 96.7x + 251.85

Rounding to the nearest hundredth, we get:

p(x) = 9.67(x - 5²  + 1 = 9.67(x + 1.04)²  - 10.25

Therefore, the answer is:

p(x) = 9.67(x + 1.04)² - 10.25

The closest answer choice is:

p(x) = 3(x - 1)²  - 2, which is not correct.

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Answer:

79665

Step-by-step explanation:

26555 + 26555 is 53110 then add 26555 again at it equals 79665

Answer:

79665

Step-by-step explanation:

26555 multiply by 3 is equal to 79665

Option B is correct. Point F is the only point according to the option given

A point is defined as an exact location with no size, length, or even width.

From the diagram shown, we have points, plane, and line segments.

The points are C, D, E, and F. Hence the correct option is B. Point F is the only point according to the option given

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Answer:

2, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16 and anything else after 16

Step-by-step explanation:

Answer:

= 2 3 /3

Step-by-step explanation:

Distribute

6(+6)−12=3(3−1)+4

6+36−12=3(3−1)+4

Subtract the numbers

6+36−12=3(3−1)+4

6+24=3(3−1)+4

Distribute

6+24=3(3−1)+4

6+24=9−3+4

Add the numbers

6+24=9−3+4

6+24=9+1

Subtract 2 4 24 24 from both sides of the equation

6+24=9+1

6+24−24=9+1−24

= 2 3 /3

Answer:

Step-by-step explanation:

8ab = 4a × (2b)

12a² = 4a × (3a)

Then

LCM(8ab , 12a²) = 4a × (2b) × (3a)

                          = (4×2×3) × (a×a×b)

                          = (24) × (a²×b)

                          = 24a²b

Answer with Step-by-step explanation:

The method uses the formula of the right angles triangle, more precisely the pythogorean formula,

In step 2, it is the power law of indices,

Other than this, other tricks used here is the using of square root on step no 6.

You can take the square root ,cube root, square, etc in equations but you have to do it on both sides, you can even add r subtract numbers and do all sorts of things.

it is the process of solving equations by equality.

Eg:

x=5

x^2=5^2

√x=√x

x-7=5-7

8/2x=8/2*5, etc